Coulomb-distorted plane wave: partial wave expansion and asymptotic forms

Autor: Hornyak, I., Kruppa, A. T.
Rok vydání: 2013
Předmět:
Zdroj: J. Math. Phys. 54, 053502 (2013)
Druh dokumentu: Working Paper
DOI: 10.1063/1.4803027
Popis: Partial wave expansion of the Coulomb-distorted plane wave is determined and studied. Dominant and sub-dominant asymptotic expansion terms are given and leading order three-dimensional asymptotic form is derived. The generalized hypergeometric function $_2F_2(a,a;a+l+1,a-l;z)$ is expressed with the help of confluent hypergeometric functions and the asymptotic expansion of $_2F_2(a,a;a+l+1,a-l;z)$ is simplified.
Databáze: arXiv